86 citations · 275 across the 24 of their papers we have counts for
4 papers · 1 filter
Infinitesimal Automorphisms of VB-groupoids and algebroids
Chiara Esposito, Alfonso Giuseppe Tortorella, Luca Vitagliano
VB-groupoids and algebroids are vector bundle objects in the categories of Lie groupoids and Lie algebroids respectively, and they are related via the Lie functor. VB-groupoids and…
Reduction of pre-Hamiltonian actions
Antonio De Nicola, Chiara Esposito
We prove a reduction theorem for the tangent bundle of a Poisson manifold endowed with a pre-Hamiltonian action of a Poisson Lie group . In the special case of a…
On the classical and quantum momentum map
Chiara Esposito
In this thesis we study the classical and quantum momentum maps and the theory of reduction. We focus on the notion of momentum map in Poisson geometry and we discuss the classific…
Poisson Reduction
Chiara Esposito
In this paper we develope a theory of reduction for classical systems with Poisson Lie groups symmetries using the notion of momentum map introduced by Lu. The local description of…